Home
Class 11
MATHS
The factor of the determinant |(x+a,b,c)...

The factor of the determinant `|(x+a,b,c),(a,x+b,c),(a,b,x+c)|` is

A

`x`

B

`x+b`

C

`x+a+b+c`

D

`x+c`

Text Solution

Verified by Experts

The correct Answer is:
A,C
Promotional Banner

Topper's Solved these Questions

  • SAMPLE PAPER -17

    FULL MARKS|Exercise PART-II|10 Videos

  • SAMPLE PAPER -17

    FULL MARKS|Exercise PART -III|10 Videos

  • SAMPLE PAPER - 3

    FULL MARKS|Exercise PART - IV|7 Videos

  • SAMPLE PAPER -19

    FULL MARKS|Exercise SAMPLE PAPER UNSOLVED-19(IV)|6 Videos

Similar Questions

Explore conceptually related problems

A factor of the determinant |(x+a,b,c),(a,x+b,c),(a,b,x+c)| is

Solve |(x+a,b,c),(a,x+b,c),(a,b,x+c)|=0

The determinant |(y^(2),-xy,x^(2)),(a,b,c),(a',b',c')| is equal to

The value of the determinant |[log_a(x/y), log_a(y/z), log_a(z/x)], [log_b (y/z), log_b (z/x), log_b (x/y)], [log_c (z/x), log_c (x/y), log_c (y/z)]|

If a,b,c are in A.P. then the determinant {:[( x+2,x+3,x+2a),( x+3,x+4,x+2b),( x+4,x+5,x+2c)]:} is

If f (x) = |(0,x-a,x-b),(x+a,0,x-c),(x+b,x+c,0)| then

The determinant "Delta"=|(a^2+x) ab ac ab (b^2+x) bc ac bc (c^2+x)| is divisible by a. x b. x^2 c. x^3 d. none of these

If a ,b ,c in R , then find the number of real roots of the equation Delta =|[x, c,-b],[-c, x, a], [b,-a,x]|=0

Let alpha,beta be the roots of the equation (x-a)(x-b)=c ,c!=0. Then the roots of the equation (x-alpha)(x-beta)+c=0 are a , c b. b , c c. a , b d. a+c , b+c